The Inclusion-Exclusion Principle On the Set of IF-sets
Available Online August 2011.
- https://doi.org/10.2991/eusflat.2011.37How to use a DOI?
- inclusion-exclusion principle, IF-sets, probability
- P. Grzegorzewski  has worked the probability version of the inclusion-exclusion principle and made a generalization for IF-events. He had applied two versions of the generalized formula, corresponding to different t-conorms and so defined the union of IF-events. This paper contains the generalization of the Grzegorzewski theorem. We prove it for mappings from the set of IF sets to the unit interval(, ). Similar generalizations are presented in  and .
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- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Jana Kelemenová PY - 2011/08 DA - 2011/08 TI - The Inclusion-Exclusion Principle On the Set of IF-sets BT - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology PB - Atlantis Press SP - 559 EP - 562 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2011.37 DO - https://doi.org/10.2991/eusflat.2011.37 ID - Kelemenová2011/08 ER -